Just focusing on those two movies/characters, it seems to be about whether the movie properly captured the essence of the character. As opposed to turning it into some Hollywood Free-for-all shitfest just for a money grab.
For the record, I quite enjoyed both of those films. TDK > Mos. But 9 > 8 too.
Well for the most part comic character have gone through who knows how many personalty shifts.
I cannot call cyclops a boring boy scout without someone telling me about a comic arc where he is a badass.
Also i like MoS more than anything superman related.
On that note i didn't think JJ abrams made a star trek movie in his first two movies. It was more about the laser show, but if it makes you watch and like older star trek than good. If you only like abrams films and nothing that came before that, i wouldn't call you a fan.